In this post, you will come across all the possible remainder questions that are likely to appear on the GRE.
These are actual real-like GRE questions that you will most likely encounter on the GRE test day.
Questions
Question 1
When the positive integer m is divided by 4, the remainder is 3 and when m is divided by 7, the remainder is 2. What is the least possible value of m?
Question 2
w is a positive integer that is divisible by 9.
Quantity A: The remainder when w is divided by 18
Quantity B: The remainder when w is divided by 27
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Question 3
When the positive integer y is divided by 42, the remainder is 28. Which of the following must be a divisor of y?
A) 10
B) 9
C) 7
D) 6
E) 4
Question 4
q = 10^100+ 3 When q is divided by 11, the remainder is p.
Quantity A: p
Quantity B: 4
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Question 5
When the positive integer n is divided by 6, the remainder is 5. What is the remainder when n^2 is divided by 12?
Question 6
When the positive integer n is divided by 4, the remainder is 0.
Quantity A: The remainder when n is divided by 12
Quantity B: 4
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Question 7
When the positive integer D is divided by 16, the remainder is 11. Which of the following integers could be the remainder when D is divided by 6?
Indicate all that apply.
A) 0
B) 1
C) 2
D) 3
E) 4
F) 5
Question 8
When the positve integer n is divided by 36, the remainder is 27. Which of the following must be a divisor of n?
A) 2
B) 5
C) 6
D) 9
E) 10
Question 9
When the positive integer n is divided by 30, the remainder is 18. Which of the following must be a divisor of n?
A) 15
B) 12
C) 9
D) 6
E) 5
Question 10
Positive integer x gives a remainder of 1 when divided by 3 and gives a remainder of 2 when divided by 4. Which of the following statements must be true?
Indicate all such statements.
A) x is greater than 10.
B) x is a multiple of 2.
C) x is divisible by 11.
Question 11
n is a positive integer.
Quantity A: The remainder when (2n + 5)^2 – 25 is divided by 4n
Quantity B: 1
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.